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Uncertainty Principles for Fourier Multipliers [PDF]
Journal of Fourier Analysis and Applications, 2020 The admittable Sobolev regularity is quantified for a function, $w$, which has a zero in the $d$--dimensional torus and whose reciprocal $u=1/w$ is a $(p,q)$--multiplier. Several aspects of this problem are addressed, including zero--sets of positive Hausdorff dimension, matrix valued Fourier multipliers, and non--symmetric versions of Sobolev ...
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Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators
Abstract and Applied Analysis, 2014 The multilinear Fourier multipliers and their commutators with Sobolev regularity are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn).
Songbai Wang, Yinsheng Jiang, Peng Li
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DESIGN OF FFT ARCHITECTURE USING KOGGE STONE ADDER
International Journal of Advances in Signal and Image Sciences, 2018 An efficient Fast Fourier Transform (FFT) algorithm is used in the Orthogonal Frequency Division Multiplexing (OFDM) applications in order to compute the discrete Fourier transform.
Rambabu Nusullapalli, Vaishnavi N
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Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces
Partial Differential Equations in Applied Mathematics, 2021 We refine the decay estimate of the heat semigroup {T(t)}t≥0defined on homogeneous Besov spaces Ḃp,qs(Rn)for s∈R,p,q∈[1,∞], which is obtained by Kozono et al. (2003).
Taiki Takeuchi
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Some Weighted Estimates for Multilinear Fourier Multiplier Operators
Abstract and Applied Analysis, 2013 We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces ...
Zengyan Si
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The multipliers of multiple trigonometric Fourier series
Open Engineering, 2016 We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier
Ydyrys Aizhan +2 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Sharp-interface models and diffuse-interface models are the two basic types of models that describe liquid-vapour flow for compressible fluids. Their depictions of the line dividing liquid from vapour are different.
Yiyi Fikri Nurizki +2 more
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Mathematics, 2022 In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
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Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]
, 2014 In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
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Bilinear Fourier Multipliers of Bounded Variation
International Mathematics Research Notices, 2022 Abstract In this paper, we obtain weighted estimates for bilinear Fourier multipliers of bounded variation that provide new restricted weak-type bounds. We also study their boundedness on the setting of the weighted Lorentz spaces. The results are obtained using Rubio de Francia extrapolation as the main tool.
Baena-Miret, Sergi +3 more
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